The Kaddish

Glorified and sanctified be G * d's great name throughout the world which he
has created according to his will. May he establish his kingdom in your
lifetime and during your days, and within the life of the entire house of
Israel, speedily and soon; and say, Amen.

Response:
May his great name be blessed forever and to all eternity.

Blessed and praised, glorified and exalted, extolled and honored, adored
and lauded be the name of the Holy One, blessed be he, beyond all the
blessings and hymns, praises and consolations that are ever spoken in the
world; and say, Amen.

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The Mourner's Kaddish omits the line below "May the prayers and
supplication..."

May the prayers and supplications of the whole house of Israel be accepted
by their Father who is in heaven; and say, Amen.

May there be abundant PEACE from heaven, and life, for us and for all
Israel; and say, Amen.

He who creates PEACE in his celestial heights, may he create PEACE for us
and for all Israel; and say, Amen.

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Daily Prayer Book: The Kaddish.

Commentary, notes and resources

All forms of the Kaddish are recited standing facing Jerusalem.
"Kaddish" is an Aramaic word meaning "holy."
The Kaddish de-Rabbanan ("the scholar's Kaddish") substitutes for the section above between the dashed lines:

[We pray] for Israel, for our teachers and their disciples and the
disciples of their disciples, and for all who study the Torah, here
and everywhere. May they have abundant PEACE, loving-kindness, ample
sustenance and salvation from their Father who is in heaven; and say,
Amen.

May there be abundant PEACE from Heaven..." (as above).

The Kaddish is mentioned as part of the prescribed synagogue
daily prayers for the first time in tractate Soferim10:7
(ca. sixth century C.E.)

"The practice that mourners recite the Kaddish seems to have
originated during the 13th century, at the time of severe
persecutions in Germany by the Crusaders" (EJ 10:662). The Kaddish
exists in a wide variety of musical forms. Leonard Bernstein composed his
Kaddish(Symphony no. 3) for narrator, choir, and orchestra in
1963.